1991 (AIEEE / IIT-JEE, in the JEE Main bank) questions

Mathematics

1. The number of solutions of the equation sin(e^x) = 5^x + 5^-x is

   Trigonometry · with solution

2. The product of n positive numbers is unity, then their sum is

   Sequences and Series

3. The value of lim_x → 0 dfrac√(1/2(1-cos^2 x))x is

   Limits Continuity and Differentiability

4. If a, b and c are distinct positive numbers, then the expression (b+c-a)(c+a-b)(a+b-c)-abc is

   Sequences and Series · with solution